Strength of Materials (SOM) Scanned Lecture Notes - Lakshana Edition

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Strength of Materials (SOM) Full Hand Written Lecture Notes from Reputed Institutions and Faculties. Useful for Civil Engineers , Specially for Candidates Appearing for GATE Exams.

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Content :
SOM

Properties of metals
Stress
1. Engineering stress
2. Actual stress

Strain
1. Engineering strain
2. True strain

TMT ( thermomechanically treated bars)
Ductility
Malleability
Resilience
Modulus of resilience
Toughness
Modulus of toughness
Creep
Factor affecting creep
Examples of creep failure
Tension failure in ductile metals
Hooks law and stress system
Differential forms of strain
Elastic constants
Inter-relation between elastic constants
Application of hooks law
Temperature stress
Impact loading
Shear force and bending moment
Internal joints and internal reaction
Axial force calculation
Shear force calculation
Bending stress distribution in beams
Effect of pure bendings
Result of elastic bending
Moment of resistance
Bending of composite beam

Filtched beam
1. Top and bottom flitched beam
2. Side fliched beam
Shear stress in beam
Assumption
Shear stress in rectangular beams
Shear stress distribution in triangular beams
Shear stress in diamond section
Shear stress distribution in t-beams
Principle stress
Stress elements in loading beam
Stress transformation

Sign convention
1. Analytical method
2. Mohr’s circle method
Use of mohr’s cycle
Strain analysis
Principle stress due to combained bending and twisting
Equivalent moment
Equivalent torque
Theories of failure
Maximum principle stress theory

Limitation
1. Maximum principle strain theory
2. Maximum shear stress theory
3. Maximum strain energy theory
4. Maximum shear strain energy theory
5. Octahendral shear stress theory
Limitation

Deflection of beam
1. Shear force 
2. Bending moments
Methods to find slope and deflection
Double integration equation
Effects of con centrated moments
Properties
Conjugate method
Strain energy method
Assumption

Pressure vessels
1. Thin 
2. Thick
Hoop’s stress
Longitudinal stress

Radial stresses
1. Longitudinal stresses
2. Hoop’s stresses
3. Strain analysis
Thin spheres
Thin cylinder with spherical ends
Analysis of stresses in thick cylinder
Wire winding on thin cylinder
Effect of wire winding
Effect of fluid pressure
Auto-frettage
Torsion in shafts
Tonsional moment equation

Connection of shaft
1. Series connection
2. Parallel connection
Strain energy stored due to torsion
Power transmitted by shaft

Theory of columns
1. Pedestal
2. Posts
3. Strust
4. Stanchion
5. Boom

Types of equilibrium
1. Stable 
2. Unstable
3. Neutral
Eulers theory of failure
Limitation
Rankines theory
Combained loading
Case of hollow circular section
Shear center
Thumb rule

Springs
1. Closed coil 
2. Open coil
3. Laminated
4. Spiral

Combination of springs
1. Series 
2. Parallel
Biaxial bending in doubly symmetric beam
Neutral axis
Torsional stiffness

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